U.S. Monetary Policy During the 1990s - Harvard …. Monetary Policy During the 1990s N. Gregory...

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American Economic Policy in the 1990s American Economic Policy in the 1990s American Economic Policy in the 1990s American Economic Policy in the 1990s June 27-30, 2001 Center for Business and Government John F. Kennedy School of Government Harvard University U.S. Monetary Policy During the 1990s N. Gregory Mankiw Harvard University May 2001 I am grateful to Ricardo Reis for research assistance and to Jeffrey Frankel and Seamus Smyth for comments.

Transcript of U.S. Monetary Policy During the 1990s - Harvard …. Monetary Policy During the 1990s N. Gregory...

Page 1: U.S. Monetary Policy During the 1990s - Harvard …. Monetary Policy During the 1990s N. Gregory Mankiw Harvard University May 2001

American Economic Policy in the 1990sAmerican Economic Policy in the 1990sAmerican Economic Policy in the 1990sAmerican Economic Policy in the 1990s June 27-30, 2001

Center for Business and Government

John F. Kennedy School of Government Harvard University

U.S. Monetary Policy During the 1990s

N. Gregory Mankiw Harvard University

May 2001 I am grateful to Ricardo Reis for research assistance and to Jeffrey Frankel and Seamus Smyth for comments.

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Abstract

This paper discusses the conduct and performance of U.S. monetary policy during the

1990s, comparing it to policy during the previous several decades. It reaches four broad

conclusions. First, the macroeconomic performance of the 1990s was exceptional, especially if

judged by the volatility of growth, unemployment, and inflation. Second, much of the good

performance was due to good luck arising from the supply-side of the economy: Food and

energy prices were well behaved, and productivity growth experienced an unexpected

acceleration. Third, monetary policymakers deserve some of the credit by making interest rates

more responsive to inflation than was the case in previous periods. Fourth, although the 1990s

can be viewed as an example of successful discretionary policy, Fed policymakers may have

been engaged in "covert inflation targeting" at a rate of about 3 percent. The avoidance of an

explicit policy rule, however, means that future policymakers inherit only a limited legacy.

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"I'm baffled. I find it hard to believe....What I'm puzzled about is whether, and if so how, they

suddenly learned how to regulate the economy. Does Alan Greenspan have an insight into

movements in the economy and the shocks that other people don't have?"

Milton Friedman, May 2000

No aspect of U.S. policy in the 1990s is more widely hailed as a success than monetary

policy. Fed Chairman Alan Greenspan is often viewed as a miracle worker. Many Americans

share the admiration that Senator John McCain expressed during his presidential bid. When the

senator was asked about Greenspan's conduct of monetary policy, McCain said that if anything

were to happen to the Fed chairman, as president he would take the strategy followed in the

movie Weekend at Bernie's: He would prop up the chairman's body, give him some sunglasses,

and keep him on the job as long as possible.

Greenspan's tenure at the Fed has had its share of historic events, impinging on (as well

as being affected by) the stance of monetary policy. In October 19, 1987, two months after

Greenspan took office, the stock market fell 22 percent--a one-day plunge larger than anything

seen before or since. The Fed reacted by flooding the economy with liquidity, lowering interest

rates and averting a recession. But soon inflation became the more pressing concern, and the Fed

started raising interest rates. The federal funds rate rose from 6.7 percent in November 1987 to

9.8 percent in May 1989. This Fed tightening, together with other factors, pushed the economy

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into a recession the following year. More than any other single event, the recession set the stage

for the economic policies of the 1990s: It helped Bill Clinton, a little-known governor from

Arkansas, defeat George Bush, an incumbent president who, only a short time earlier, had

enjoyed overwhelming popularity following the Gulf War.

The Clinton years brought their own challenges to monetary policymakers. International

financial crises in Mexico in 1994-95 and in Asia in 1997-98, as well as the infamous failure of

the hedge fund Long-Term Capital Management in 1998, put the world financial system in

jeopardy and the Fed at center stage. At the same time, the push for fiscal discipline, which

turned the U.S. government budget from deficit to surplus, made the Fed's job easier. So did the

acceleration of productivity growth, which most analysts attribute to the advances in information

technology associated with the so-called "new economy." Another (perhaps related)

development was a gradual decline in the U.S. unemployment rate, without the inflationary

pressures that normally accompany such a change. Explaining this happy but surprising shift,

and deciding how to respond to it, remains a topic of debate among students and practitioners of

monetary policy.

The purpose of this paper is to look back at these events. My goal is not to tell the story

of U.S. monetary policy during the 1990s: Bob Woodward's widely read book, Maestro, already

does that. Instead, I offer an analytic review of monetary policy during this period, which should

complement more narrative treatments of the topic.

I proceed as follows. Section 1 compares the macroeconomic performance of the 1990s

to other recent decades. Section 2 considers whether some of the good performance of the 1990s

can be attributed to good luck rather than good policy. Section 3 examines how policy was

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different from earlier decades. Section 4 considers the legacy that the monetary policy of the

1990s leaves for the future. Section 5 summarizes the conclusions from this experience.

1. The Macroeconomic Performance of the 1990s

I begin by comparing the performance of the economy during 1990s with other recent

decades. To do this, I concentrate on three standard time series: inflation, unemployment, and

real growth. Economists, policymakers, and pundits watch these measures of the economy's

performance more than any others. This is for good reason: If a nation enjoys low and stable

inflation, low and stable unemployment, and high and stable growth, the fundamentals are in

place to ensure prosperity for most of its citizens.

1.1 The Level and Stability of Inflation

Inflation is the first piece of data to look at, in part because a central banker's first job is

to keep inflation in check. There is no doubt that central bankers also influence unemployment

and real growth and that they do (and should) keep an eye on these variables as well. But

according to standard theories of monetary policy, central-bank actions have only a transitory

effect on unemployment and real growth. By contrast, the effects of monetary policy on

inflation continue in the long run--and indeed are strongest in the long run. So, if monetary

policymakers take a long view of their actions, inflation is their first order of concern.

Table 1 shows the performance of inflation during the 1990s and the preceding four

decades. The first row shows average inflation for each of the decades. The second row shows

the standard deviation, which is a common measure of volatility.

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As judged by the average inflation rate, the 1990s were not exceptional. Inflation was

lower in the 1950s and 1960s than it was in the 1990s. For those with shorter memories,

however, the 1990s can be viewed as a low-inflation decade. There was substantially less

inflation in the 1990s than there was in the 1980s and especially the 1970s.

This decline in inflation is largely the result of the tough disinflationary policies that Paul

Volcker put into place in the early 1980s: Inflation fell from a peak of 14.8 percent in March

1980 to 3.6 percent three years later. As is almost always the case, this large and persistent

decline in inflation was associated with temporarily declining production and rising

unemployment. By most measures, the recession of the early 1980s was the most severe

economic downturn since the Great Depression of the 1930s.

The 1990s look more exceptional once we look at the standard deviation of inflation. The

second row of Table 1 shows that inflation was far more stable during the 1990s than during any

other recent decade. The differences are substantial in magnitude. Inflation was only one-third

as volatile during the 1990s as it was during the 1980s. It was 24 percent less volatile during the

1990s than during the 1960s, the second-best decade as ranked by inflation volatility. There is

no doubt that by historical standards the 1990s were a decade of remarkably stable inflation.

Another way to look at the data is to examine how bad inflation was at its worst. The

third line of Table 1 shows the highest annual inflation rate recorded over the 120 months of

each decade. By this measure, inflation was lowest in the 1960s and 1990s. But there is an

important difference between these two periods. In the 1960s, the highest inflation rate occurred

at the end of the decade, representing the beginning of a problem that would persist into the

1970s. By contrast, in the 1990s, inflation peaked at the beginning of the decade and thereafter

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became tame. After January 1992, inflation remained in a remarkably narrow range from 1.34

percent to 3.32 percent.

Table 1:

The Inflation Experience, Decade by Decade 1950s 1960s 1970s 1980s 1990s Average Inflation 2.07 2.33 7.09 5.66 3.00 Standard Deviation 2.44 1.48 2.72 3.53 1.12 of Inflation Maximum 9.36 6.20 13.29 14.76 6.29 Inflation Date of Maximum Feb 50 Dec 69 Dec 79 Mar 80 Oct 90 Inflation Note: In this and subsequent tables, the decade of the 1950s refers to the period from the first month (or quarter) of 1950 to last month (or quarter) of 1959, and so on. Inflation is the rate of change in the consumer price index over the previous 12 months. Source: Department of Labor and author's calculations.

1.2 Judging the Inflation Experience

These comparisons of inflation over the past five decades bring up a classic question of

economic theory: What costs does inflation impose on a society? Or it more important for the

central bank to produce low inflation or stable inflation? If low average inflation is the goal,

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then the monetary policymakers of the 1990s can be given only an average grade. But if stable

inflation is the goal, then they go to the top of the class.

Textbook discussions of the costs of inflation emphasize both the level and stability of

inflation. A high level of inflation is costly for several reasons: (1) Because inflation raises the

costs of holding money, it diverts people's time and attention toward conserving their money

holdings and away from more productive uses. (2) Inflation induces firms to incur more "menu

costs"--the costs associated with changing prices and distributing the new prices to salesmen and

customers. (3) Because price adjustment is staggered, inflation induces spurious volatility in the

prices of some firms relative to others, which impedes the price system's ability to allocate

resources efficiently. (4) Because the tax laws are not indexed, inflation raises the effective tax

on capital income and thereby discourages capital accumulation and economic growth. (5)

Inflation makes economic calculation more difficult, because the currency is less reliable as a

yardstick for measuring value.

All five of these costs indicate that low average inflation is desirable, but they suggest

that the stability of inflation matters as well. Standard theory implies that these costs of inflation

are "convex," meaning that the cost of incremental inflation rises with inflation itself. In other

words, an increase in inflation from 4 to 6 percent is worse than an increase from 2 to 4 percent.

If this is so, then these five benefits to low inflation also argue for stable inflation. The cost of

steady 4-percent inflation is less than the average cost of inflation that fluctuates back and forth

between 2 and 6.

In addition to these five costs, there is another cost associated directly with inflation

volatility: (6) Because an unexpected change in the price level redistributes real wealth between

debtors and creditors, highly volatile inflation creates unnecessary risk for all parties. As people

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avoid try to avoid these risks, long-term contracts using money as the unit of account become

less tenable.

Although these six costs of inflation are widely accepted among economists, there is

debate about whether the costs are large or small in total, and which are larger than others.

Moreover, there is little direct evidence of convexity in the costs of inflation. As a result, it is

hard to compare quantitatively the benefits of low inflation with the benefits of stable inflation.

The more weight is given to inflation stability as a policy objective, the more exceptional the

monetary policy of the 1990s appears.

1.3 Two Arguments in Favor of Inflation

Some economists argue that there are some benefits to inflation, at least if the inflation is

only moderate. These arguments are worth noting, in part because they are associated with some

prominent policymakers of the 1990s.

In particular, long before he was U.S. Secretary Treasury, Lawrence Summers (1991)

wrote, "the optimal inflation rate is surely positive, perhaps as high or 2 or 3 percent." Although

Summers has never had direct control over monetary policy, Fed policymakers are well aware of

the views of prominent Treasury officials. Moreover, nations that have adopted a policy of

inflation targeting (which were numerous during the 1990s) have typically chosen a positive

number, rather than zero, for their target. In this environment, claims that the Fed is aiming for

"price stability" should perhaps not be taken too literally. The 3-percent inflation experienced

during the 1990s may be close to the target policymakers had in mind.

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1.3.1 The Possibility of Negative Real Interest Rates

One argument for a target rate of inflation greater than zero is that it permits real interest

rates (that is, interest rates corrected for inflation) to become negative. Because individuals can

always hold cash rather than bonds, it is impossible for nominal interest rates to fall below zero.

Under zero inflation, real interest rates also can never become negative. But if inflation is, say, 3

percent, then the central bank can lower the nominal rate toward zero and send the real interest

toward negative 3 percent. The ability to produce negative real interest rates gives the central

bank more latitude to stimulate the economy in a recession.

Some economists point to Japan in the 1990s as an example of why some inflation is

desirable. With inflation at about zero and nominal interest rates at zero, the Bank of Japan

appears to have had little room to stimulate the economy. Japan is said to have been stuck in a

"liquidity trap" when monetary policy loses its effectiveness. If Japan had inherited a tradition of

more inflation, the argument goes, then when the Bank lowered nominal rates to zero, real rates

would have become negative. A negative real rate would have stimulated spending and helped

pull the economy out of its lingering recession.

This line of reasoning is controversial. Some economists dispute the claim that Japan

was stuck in a liquidity trap. They argue that more aggressive Japanese monetary expansion

would have lowered real rates by raising inflation expectations or that it would have stimulated

exports by causing the yen to depreciate in foreign exchange markets.

Nonetheless, this argument for positive inflation may well have influenced U.S. monetary

policy during the 1990s. Lawrence Summers endorsed this argument at the beginning the

decade. Moreover, the Japanese experience in the aftermath of its stock market and real estate

bubble was a warning flag of what might happen in the United States if the booming stock

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market were ever to suffer a similar collapse. The 3-percent inflation rate gave Fed

policymakers the option to stimulate spending with negative real interest rates, if the need should

ever have arisen.

1.3.2 Greasing The Wheels of Labor Markets

A second argument for moderate inflation starts with the observation that cuts in nominal

wages are rare. For some reason, firms are reluctant to cut their workers' nominal wages, and

workers are reluctant to accept such cuts. A 2-percent wage cut in a zero-inflation world is, in

real terms, the same as a 3-percent raise with 5-percent inflation, but workers do not always see

it that way. The 2-percent wage cut may seem like an insult, whereas the 3-percent raise is, after

all, still a raise. Empirical studies confirm that nominal wages rarely fall.

This fact suggests that inflation may make labor markets work better. Here's the

argument. The supply and demand for different kinds of labor is always changing. Sometimes

an increase in supply or decrease in demand leads to a fall in the equilibrium real wage for a

group of workers. If nominal wages can't be cut, then the only way to cut real wages is to allow

inflation to do the job. Without inflation, the real wage will be stuck above the equilibrium level,

resulting in higher unemployment.

For this reason, some economists argue that inflation "greases the wheels" of labor

markets. Only a little inflation is needed: An inflation rate of 2 percent lets real wages fall by 2

percent per year, or 20 percent per decade, without cuts in nominal wages. Such automatic

reductions in real wages are impossible with zero inflation.

There is reason to suspect that this argument for positive inflation also influenced U.S.

monetary policy in the 1990s. Once again, Lawrence Summers endorsed this view at the

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beginning of the decade when he proposed a target rate of inflation of 2 to 3 percent.

Subsequently, the case was advanced by a Brookings research team that included George

Akerlof, husband to Janet Yellen, a Clinton appointee to the Federal Reserve.<1> These facts

suggest that some U.S. monetary policymakers during the 1990s may have been skeptical about

the desirability of pushing inflation all the way down to zero. The 3-percent inflation realized

during this period may have been exactly what they were aiming for.

1.4 Real Economic Performance: Unemployment and Growth

The other key aspect of macroeconomic performance beyond inflation is the real

economy, which is most often monitored by unemployment and growth in real GDP. Keep in

mind that monetary policy is not the most important determinant of these economic variables.

Indeed, according to standard theory, the Fed has no ability at all to influence unemployment and

real growth in the long run.

What determines the long-run rates of unemployment and real growth? Unemployment

is determined by labor-market features, institutions, and policies, such as the demographic

structure of the work force, the bargaining power of unions, minimum-wage laws,

unemployment-insurance policies, and the mechanisms available for matching workers and jobs.

These factors also influence real economic growth (for lower unemployment means higher

production), but the primary determinant of real economic growth in the long run is the rate of

technological progress. Notice that when discussing these forces setting unemployment and real

growth, monetary policy is far in the background.

Yet monetary policy influences unemployment and growth in the short run. What the

"short run" means is a subject of some dispute, but most economists agree that the central-bank

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actions influence these variables over a period of at least two or three years. This means that the

central bank can potentially help stabilize the economy. (And if policy is badly run, it can

destabilize it--the Great Depression of the 1930s being a prominent example). In the jargon of

economics, monetary policy is neutral in the long run, but not in the short run. The practical

implications of this textbook theory are the following: The average levels of unemployment and

growth over long periods are beyond the central bank's powers, but the volatility of these series

from year to year is something it can influence.

Table 2 presents summary statistics on unemployment and real growth for each of the last

five decades of the twentieth century. It presents both the average level over the decade and the

standard deviation as a measure of volatility.

As the table shows, the average level of unemployment during the 1990s was lower than

it was during the previous two decades (although still higher than 1950s and 1960s). There is no

consensus among economists on the reasons for this decline in the normal level of

unemployment. It could, for instance, be related to the aging of the work force, as the baby

boom reaches middle age. Older workers tend to have more stable jobs than younger workers, so

it is natural to expect declining unemployment as the work force ages. Alternatively, as I discuss

later, the decline in normal unemployment during the 1990s could be related to the acceleration

in productivity growth due to advances in information technology. But whatever the cause for

the long-run decline in unemployment, few economists would credit monetary policy.

Data on real economic growth shows that average growth during the 1990s was similar to

that experienced during the 1980s and substantially lower than that experienced during the 1950s

and 1960s. This fact might seem surprising in light of the great hoopla surrounding the so-called

"new economy." The explanation is that the acceleration of economic growth occurred in the

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middle of the decade. Once the rapid growth in the second half of the decade is averaged with

the recession and slow growth in the first half, overall growth during the 1990s is no longer

impressive.

What's important for evaluating monetary policy, however, are not the averages in Table

2 but the standard deviations. Here the numbers tell a striking story: Unemployment and

economic growth were more stable during the 1990s than during any recent decade. The change

in the volatility of GDP growth is large. The economy's production was 27 percent less volatile

during the 1990s than it was during the 1960s, the second most stable decade.

These statistics suggest amazing success by monetary policymakers during the 1990s. As

we saw earlier, the economy enjoyed low volatility in inflation. One might wonder whether this

success came at a cost. That is, did the Fed achieve stable inflation by giving less weight to the

goals of stable employment and growth? The answer appears to be no: The economy became

more stable in every dimension.

Of course, improvement in economic stabilization does not necessarily mean that

policymakers are doing a better job. Perhaps they were just lucky.

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Table 2:

Unemployment and Real Economic Growth, Decade by Decade 1950s 1960s 1970s 1980s 1990s Unemployment Average 4.51 4.78 6.22 7.27 5.76 Standard Deviation 1.29 1.07 1.16 1.48 1.05 Real GDP growth Average 4.18 4.43 3.28 3.02 3.03 Standard Deviation 3.89 2.13 2.80 2.68 1.56 Note: Unemployment is the monthly seasonally-adjusted percentage of the labor force without a job. Real GDP growth is the growth rate of inflation-adjusted gross domestic product from four quarters earlier. Source: Department of Labor, Department of Commerce, and author's calculations.

2. The Role of Luck

The Fed's job is to respond to shocks to the economy in order to stabilize output,

employment, and inflation. Standard analyses of economic fluctuations divide shocks into two

types. Demand shocks are those that alter the overall demand for goods and services. Supply

shocks are those that alter the prices at which firms are willing and able to supply goods and

services.

Demand shocks are the easier type for the Fed to handle because, like monetary policy,

they push output, employment, and inflation in the same direction. A stock market crash, for

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instance, reduces aggregate demand, putting downward pressure on output, employment, and

inflation. The standard response is for the Fed to lower interest rates by increasing the money

supply. If well timed, such an action can restore aggregate demand and offset the effects of the

shock on both inflation and the real economy.

Supply shocks pose a more difficult problem. An increase in the world price of oil, for

instance, raises firms' costs and the prices they charge. This tends to raise inflation and, for

given aggregate demand, push the economy toward recession. The Fed then has a choice

between contracting policy to fight inflation and expanding policy to fight recession. In the face

of supply shocks, the Fed cannot stabilize inflation and the real economy simultaneously.

Supply shocks force upon the Fed a tradeoff between inflation stability and employment

stability.

Yet during the 1990s the U.S. economy enjoyed stability of both kinds. One possible

reason is dumb luck. Perhaps the economy just did not experience the supply shocks that caused

so much turmoil in earlier decades.

2.1 Food and Energy Price Shocks

The most significant supply shocks in recent U.S. history are the food and energy shocks

of the 1970s. These shocks are often blamed as one proximate cause of the rise in inflation that

occurred during this decade not only in the United States but also around the world. So a natural

place to start looking for supply shocks is in the prices of food and energy.<2>

Table 3 shows some summary statistics on these shocks. They are measured here as CPI

inflation minus core inflation, where core inflation is based on the consumer price index

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excluding food and energy. This measure is positive when food and energy prices are rising

relative to other prices in the economy.

The first two rows of the table show the average shock and the standard deviation of the

shocks in each decade. The 1990s were lucky time. The low standard deviation shows that large

supply shocks were not common. Moreover, the negative value for the average shock indicates

that good shocks were more common than bad shocks.

The third row of the table shows the worst shock that the Fed had to deal with during

each decade. Not surprisingly, the worst shock in the entire period was in the 1970s: Because of

adverse shocks to food and energy, CPI inflation rose 4.64 percentage points more than core

inflation during the twelve months ending February 1974. By contrast, the worst shock of the

1990s was less than one-fourth as large. This shock occurred in 1990 as a result of the Gulf War.

For the rest of the decade, there was no adverse food and energy shock as large as a full

percentage point.

Given these data, it is hard to escape the conclusion that the macroeconomic success of

the 1990s was in part due to luck. Food and energy prices were unusually well behaved, and the

economy reaped the benefit of this stability.

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Table 3

Food and Energy Price Shocks, Decade by Decade 1960s 1970s 1980s 1990s Average Shock -0.12 0.61 -0.51 -0.22 Standard Deviation 0.45 1.41 0.97 0.50 of Shocks Worst Shock 1.34 4.65 2.26 1.02 Date of Worst Shock Feb 66 Feb 74 Mar 80 Oct 90 Note: The shock here is measured as the CPI inflation rate over 12 months minus the core CPI inflation rate over the same period. The core CPI is the index excluding food and energy. Source: Department of Labor and author's calculations.

2.2 Productivity

Another potential source of supply shocks is the rate of technological advance. This is a

natural hypothesis to explain the good macroeconomic performance of the 1990s. During these

years there was much discussion of the so-called "new economy" and the increasing role of

information technology.

Table 4 shows data on the productivity growth in the nonfarm business sector. The

pickup in productivity growth is evident in these data. It is even clearer if the 1990s are split in

half: Productivity growth was higher in the second half of the decade than in the first. While the

productivity speed-up is a fortuitous development, its importance should not be overstated.

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Compared to the data from the 1950s and 1960s, the average rate of productivity growth during

the 1990s is not unusual.

What is more anomalous is the low volatility of productivity growth, as shown in the

second row of the table. To the extent that productivity reflects technological progress, the

1990s were a decade of smooth advances in technology. It is possible that this might explain the

low volatility in other macroeconomic variables. Yet it is also possible that the tame business

cycle led to low volatility in productivity, rather than the other way around.

The productivity data suggest an intriguing observation: The 1990s were in many ways

the opposite of the 1970s. The 1970s saw a large increase in the price of a major intermediate

good--oil. At the same time, productivity growth decelerated, while unemployment and inflation

rose. The 1990s saw a large decrease in the price of a major intermediate good--computer chips.

At the same time, productivity growth accelerated, while unemployment and inflation fell.

Economists do not fully understand the links among productivity, unemployment, and

inflation, but one hypothesis may help explain the 1990s. If workers' wage demands lag behind

news about productivity, accelerating productivity may tend to lower the natural rate of

unemployment until workers' aspirations catch up. If the central bank is unaware of the falling

natural rate of unemployment, it may leave more slack in the economy than it realizes, putting

downward pressure on inflation. Thus, even if the average rate of productivity growth was not

exceptional during the 1990s, the surprising acceleration from the poor productivity growth of

the 1970s and 1980s may have acted like a lucky shock to aggregate supply.<3>

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Table 4:

Productivity Growth, Decade by Decade 1950s 1960s 1970s 1980s 1990s Average Productivity 2.80 2.84 2.05 1.48 2.07 Growth Standard Deviation of Productivity 4.29 4.20 4.30 2.91 2.62 Growth Note: Productivity growth is the quarterly change in output per hour in the nonfarm business sector, expressed at an annual rate. Source: Department of Commerce and author's calculations.

2.3 The Stock Market

It would be an oversight in any discussion of luck in the 1990s to neglect the stock

market. For investors in the stock market, this decade was extraordinarily lucky.

Table 5 shows the average return and the standard deviation of returns for each of the

past five decades. It also shows the ratio of the average return to the standard deviation, which is

commonly used as a measure of how much reward an investor gets for taking on risk. The table

shows that the 1990s were exceptional. Returns were high, and volatility was low. There

was never a better time to be in the market.

To a large extent, the performance of the stock market is just a reflection of the

macroeconomic events we have already seen in other statistics. Low volatility in the stock

market reflects low volatility in the overall economy. The high return reflects the surprising

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acceleration in productivity growth, which helped fuel growth in corporate profits. If the stock

market is merely a mirror being held up to the economy, then it has little independent role in the

conduct or analysis of monetary policy.

There are, however, two reasons why the stock market may have a role to play. The first

is that the stock market may be an indicator of things to come. According to the "efficient

markets" theory, stock-market investors are rationally looking ahead to future economic

conditions and constantly processing all relevant information. Thus, news about the economy

might show up first in the stock market. The 1990s are a case in point. The bull market

preceded the acceleration in productivity growth by several years, suggesting that Wall Street

knew about the "new economy" long before it showed up in standard macroeconomic statistics.

A second reason why the stock market may be relevant to monetary policy is that it can

be a driving force of the business cycle. John Maynard Keynes suggested that movements in the

market are driven by the "animal spirits" of investors. Alan Greenspan reprised this idea during

the 1990s when he questioned whether investors were suffering from "irrational exuberance."

Such exuberance could push stock prices higher than their fundamental value and make

households feel richer than they truly are.

Under either theory, monetary policymakers might react to a rise in the stock market by

setting interest rates higher than they otherwise would. This is the other side of the coin to the

Fed's policy in October 1987, when it responded to a stock market crash by increasing liquidity

and cutting interest rates. Regardless of whether the movements in the stock market are rational,

they alter the aggregate demand for goods and services, which make them of interest to monetary

policymakers. As I discuss below, however, there is scant evidence that the booming stock

market of the 1990s played a large role in monetary policy during this period.

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Table 5:

Stock Market Returns, Decade by Decade 1950s 1960s 1970s 1980s 1990s Average Return 15.22 6.03 1.84 13.39 15.73 Standard Deviation of Return 14.41 11.82 15.73 16.48 12.06 Ratio of Average Return to 1.06 0.51 0.12 0.75 1.30 to Standard Deviation Note: Calculations are based on monthly data on total returns on the S&P 500 index over the previous 12 months. Source: Standard and Poors and author's calculations.

3. The Role of Policy

Let's now turn to looking directly at policy to see how, if at all, it was different in the

1990s than in earlier decades. I look at two standard gauges of monetary policy--the money

supply and interest rates.

Before doing so, let's clear up a potential confusion. Although a central bank can control

both the money supply and the level of interest rates, it would be wrong to view these two

variables as distinct policy instruments. The reason is that the central bank influences interest

rates by adjusting the money supply. In essence, interest rates are the price of money. The

central bank affects the price of money by controlling the quantity of money.

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As a first approximation, the central bank's only policy lever is the supply of high-

powered money (currency plus bank reserves), which it controls through open-market operations

and, to a lesser extent, lending at its discount window. It can use this single lever to target a

broad monetary aggregate, such as M1 or M2, an interest rate, an exchange rate, or the price of

bananas. But once it chooses one intermediate target, the game is over: The central bank has

used up its power over economic conditions.

3.1. The Demise of Monetary Aggregates

There once was a time when critics of Fed policy thought the key to good monetary

policy was stable growth in the money supply. If the Fed would only keep M1 or M2 growing at

a low, stable rate, the argument went, the economy would avoid high inflations, painful

deflations, and the major booms and busts of the business cycle. Milton Friedman was the most

prominent proponent of this so-called "monetarist" view.

It is easy to see how such a viewpoint arose. The two most painful macroeconomic

events of the twentieth century were the Great Depression of the 1930s and the Great Inflation of

the 1970s. Both calamities would likely have been avoided if the Fed had been following the

Friedman prescription of low, stable money growth.

In the early 1930s, high-powered money continued to grow at a moderate rate, but the

collapse of the banking system caused broader measures of the money supply to plunge. Worries

about bank solvency caused households to hold more money in the form of currency rather than

demand deposits and banks to hold more deposits in the form of reserves rather than bank loans.

Both actions reduced the amount of bank lending; the creation of inside money by the banking

system went in reverse. As measured by currency plus demand deposits, the quantity of money

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fell by 25 percent from 1929 to 1933. If the Fed has been committed to stable money growth, it

would have pursued a more expansionary policy than it did, and the Great Depression would

have been less severe.

Generals are said to often make the mistake of fighting the last war, and the same may be

true of central bankers. Perhaps because of the memory of its insufficient expansion during the

1930s, the Fed was too expansionary during the 1970s. The proximate cause of the Great

Inflation was not monetary policy: The fiscal expansion due to the Vietnam War in the late

1960s and the OPEC oil shocks of 1973-74 and 1979-81 deserve much of the blame. But

monetary policy accommodated these shocks to a degree that ensured persistent high inflation.

The money supply grew rapidly throughout the 1970s, and inflation reached some of its highest

levels on record. How best to handle supply shocks is a topic about which economists disagree.

But there is no doubt that if Fed had kept money growth to a slower rate during the 1970s, it

would have better contained the inflationary pressures.

With these two formative episodes as the historical background, one might have expected

subsequent improvements in monetary policy to be associated with increased concern at the Fed

to maintain low, stable money growth. Indeed, increased reliance on target ranges for the

monetary aggregates was allegedly part of Paul Volcker's 1979 change in the direction of

monetary policy, which helped set the stage for the 1990s.<4> If the improved macroeconomic

performance of the 1990s went hand in hand with greater stability in the money supply,

monetarists could have claimed intellectual victory.

Alas, it was not to be. Table 6 shows the average growth rate and the standard deviation

of the growth rate for M1 and M2, the two most commonly used measures of the money supply.

(I omit the 1950s here because the Fed's consistent data on monetary aggregates start in 1959.)

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One clear fact is that the 1990s saw slower money growth than the 1970s and 1980s. The basic

lesson of the quantity theory of money--that slower money growth and lower inflation go hand in

hand--receives ample support from this decade.

Yet the data give no support for the monetarist view that stability in the monetary

aggregates is a prerequisite for economic stability. The standard deviation of M2 growth was not

unusually low during the 1990s, and the standard deviation of M1 growth was the highest of the

past four decades. In other words, while the nation was enjoying macroeconomic tranquility, the

money supply was exhibiting high volatility.

From the standpoint of economic theory, this is not a puzzle. The money supply is one

determinant of the overall demand for goods and services in the economy, but there are many

others, such as consumer confidence, investor psychology, and the health of the banking system.

The view that monetary stability is the only ingredient needed for economic stability is based on

a narrow view of what causes the ups and downs of the business cycle. In the end, it's a view

that is hard to reconcile with the data.

This lesson was not lost on monetary policymakers during the 1990s. In February 1993,

Fed chairman Alan Greenspan announced that the Fed would pay less attention to the monetary

aggregates than it had in the past. The aggregates, he said, "do not appear to be giving reliable

indications of economic developments and price pressures."<5> It's easy to see why he might

have reached this conclusion when he did. Over the previous 12 months, M1 had grown at an

extremely high 12-percent rate, while M2 had grown at an extremely low 0.5-percent rate.

Depending on how much weight was given to each of these two measures, monetary policy was

either very loose, very tight, or somewhere in between.

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Henceforth, the Fed would conduct policy by setting a target for the federal funds rate,

the short-term interest rate at which banks make loans to one another. It would adjust the target

interest rate in response to changing economic conditions, but it would permit the money supply

to do whatever necessary to keep the interest rate on target. If the subsequent performance of the

economy is any guide, this policy of ignoring data on the monetary aggregates has proven a

remarkably effective operating procedure.

Table 6:

Growth in the Money Supply, Decade by Decade 1960s 1970s 1980s 1990s M1 Average 3.69 6.35 7.78 3.63 Standard Deviation 2.15 1.61 4.10 5.42 M2 Average 7.05 9.49 7.97 4.04 Standard Deviation 1.63 3.22 2.29 2.39 Note: Calculations are with monthly data. The growth rate is calculated from 12 months earlier. Source: Federal Reserve and author's calculations.

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3.2. Interest Rate Policy: The End of the Inflation Spiral

Choosing the short-term interest rate as an intermediate target for Fed policy is only the

first step to conducting monetary policy. The next, more difficult step is to decide what the

target rate should be and how the target should respond to changing economic conditions.

There is a long tradition of concern among economists that a central bank's reliance on

interest-rate targets could prove inflationary. The argument runs as follows. Imagine that some

event--an accidental overheating of the economy, an adverse supply shock, or a sudden scare

about impending inflation--starts to drive up expectations of inflation. If the central bank is

targeting the nominal interest rate, the rise in expected inflation means an automatic fall in the

real interest rate. The fall in the real interest rate stimulates the aggregate demand for goods and

services, which in turn puts upward pressure on prices. The rise in prices confirms and

reinforces the inflationary expectations that began the process. Thus, expected inflation begets

actual inflation, which in turn begets even higher expected inflation. The central bank,

committed to its interest-rate target, ends up increasing the money supply at an ever more rapid

rate. Inflation spirals out of control.

Fortunately, there is a simple way to avoid this problem: A central bank should raise its

interest-rate target in response to any inflationary pressure by enough to choke off that pressure.

How much is enough? Economic theory suggests a natural benchmark: If the central bank

responds to a one-percentage-point increase in inflation by raising the nominal interest rate by

more than one percentage point, then the real interest rate will rise, cooling off the economy. In

other words, it is not sufficient that the central bank raise nominal interest rates in response to

higher inflation; it is crucial that the response be greater than one-for-one.

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These theoretical insights go a long way to explaining the success of monetary policy in

the 1990s, as well as its failures in previous decades. The first line of Table 7 shows how much

the federal funds rate typically responds to changes in core inflation. These numbers are based

on a simple statistical analysis of the data on interest rates, unemployment, and inflation

(described in the note to the table).

The key result in this table is that the responsiveness of interest rates to inflation has been

rising over time. In earlier decades, the response was less than one-for-one. In the 1960s, for

instance, when inflation rose by 1 percentage point, the federal funds rate rose by only 0.69 of a

percentage point. The theory of spiraling inflation may be the right explanation for the Great

Inflation of the 1970s. In other words, this episode was the result of the inadequate response of

interest-rate policy to the inflationary pressures arising first from the Vietnam War and later from

the OPEC oil shocks.

The situation was just the opposite during the 1990s. Each rise in the inflation rate was

met by an even larger rise in the nominal interest rate. When inflation rose by 1 percentage

point, the federal funds rate typically rose by 1.39 percentage points. This substantial response

prevented any incipient inflation from getting out of control.

Although the 1990s saw high responsiveness of interest rates to inflation, it was not a

decade of volatile interest rates. The second line in Table 7 shows that the federal funds rate, in

fact, exhibited low volatility by historical standards. High responsiveness and low volatility may

seem a paradoxical combination, but they are easy to reconcile: The more the Fed responds to

inflationary pressures when they arise, the less of a problem inflation becomes, and the less it has

to respond to later.

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Overall, the U.S. experience with monetary policy during the 1990s teaches a simple

lesson. To maintain stable inflation and stable interest rates in the long run, a central bank

should raise interest rates substantially in the short run in response to any inflationary threat.<6>

Table 7:

The Federal Funds Rate, Decade by Decade 1960s 1970s 1980s 1990s The typical response of the federal funds rate 0.69 0.85 0.88 1.39 to a 1-percentage point increase in core inflation Standard deviation of 1.78 2.54 3.38 1.39 the federal funds rate Note: These numbers are computed using 120 months of data for each decade. The first line is derived from an ordinary least squares regression of the federal funds rate on a constant, the unemployment rate, and the core inflation rate over the previous 12 months; the table reports the coefficient on core inflation. Source: Federal Reserve, Department of Labor, and author's calculations.

3.3. A Simple Way to Set Interest Rates Like A Pro

Consider the following simple formula for setting the federal funds rate:

Federal funds rate = 8.5 + 1.4 x (Core inflation - Unemployment)

Here "core inflation" is the CPI inflation rate over the previous 12 months excluding food and

energy, and "unemployment" is the seasonally-adjusted unemployment rate. For example, if

core inflation is at 3 percent and unemployment is at 5 percent, the federal funds rate should be

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set at 5.7 percent. The parameters in this formula were chosen to offer the best fit for data from

the 1990s.

3.3.1. The Case for the Interest Rate Formula

The logic behind such an interest-rate formula is straightforward. The Fed raises interest

rates in response to higher inflation to cool the economy. As we just discussed, the response is

more than one-for-one to avoid spiraling inflation. In addition, the Fed responds to high

unemployment by cutting interest rates to stimulate aggregate demand.

There are two reasons why the Fed might want to respond to unemployment. First,

employment stability may be a goal in itself. At times, legislation has been proposed that would

give the Fed single-minded concern about price stability. But the Fed's actual Congressional

mandate has always been much broader.

Second, unemployment is a leading indicator of future inflation. Low unemployment

tends to put upward pressure on wages, which in turn raises production costs and the prices of

goods and services. Although some observers have suggested that the combination of low

unemployment and low inflation in the late 1990s casts doubt on the "Phillips curve" tradeoff

between these variables, careful statistical analyses suggest that unemployment and related

variables are among the most useful data for forecasting inflation.<7> Other things equal, a Fed

that wants to keep inflation in check will respond to low unemployment by raising interest rates.

3.3.2 What the Formula Says About Monetary Policy During the 1990s

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Figure 1 shows the federal funds rate predicted by this simple interest-rate formula and

the actual federal funds beginning from 1958. Comparing these two series leads to several

conclusions about the conduct of monetary policy.

The first, important observation is that during the 1990s, the two series in Figure 1 move

closely together. According to a standard measure of goodness of fit (the R2 statistic), the

formula explains 85 percent of movements in the federal funds rate during this time. This tight

fit has profound implications for understanding monetary policy. It means that the interest-rate

policy during the 1990s can be viewed as largely a response to the contemporaneous levels of

inflation and unemployment.<8>

A corollary to this conclusion is that the many other issues that dominated public debate

over monetary policy during the 1990s must be of secondary importance. The media spent much

time discussing the Fed chairman's broad interests, including the stance of fiscal policy, the

"irrational exuberance" of the stock market, the productivity gains of the "new economy," the

financial crises in Mexico and Asia, and sundry obscure economic data. Apparently, these did

not exert a great influence over interest rates. If they had, the formula would not be able to track

actual interest rates so well.

A second, important observation is that the two series in Figure 1 move at about the same

time. There was much discussion during the 1990s of the need for the Fed to be preemptive, to

respond to economic pressures before they showed up in inflation and unemployment. Being

preemptive makes sense, if forecasting is good enough to make the task feasible, because

monetary policy influences the economy with a lag typically estimated to be 6 to 12 months. But

the strong contemporaneous correlation in Figure 1, and the absence of any tendency for the

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actual interest rate to move before the formula indicates, suggests that policy was not in fact

preemptive at all.

3.3.3 What the 1990s Teach Us About Earlier Monetary Policy

Figure 1 can also be used to make some judgments about monetary policy of the past.

We can view the interest-rate formula as a rough approximation to the Greenspan Fed. By

comparing the two series, we can see how the Greenspan Fed might have responded to the

economic circumstances facing monetary policymakers of the past.

One conclusion is that the Greenspan Fed of the 1990s would likely have averted the

Great Inflation of the 1970s. >From the late 1960s to the early 1970s, the formula interest rate in

Figure 1 is consistently several percentage points above the actual interest rate. The same is true,

to a less extent, in the late 1970s. This is consistent with the result presented in Table 7: Fed

policymakers of the 1990s responded more to rising inflation than did their predecessors.

A second conclusion from Figure 1 is that the Greenspan Fed would have been much

more expansionary in the early 1980s. As the economy experienced the deepest recession since

the Great Depression, the Fed would have cut interest rates much more aggressively. (Taken

literally, the interest-rate formula says interest rates should have become negative, which is of

course impossible.) The disinflation would have been less rapid, but some of the very high

unemployment would have been averted.

3.4 The Role of the White House

So far, this paper has said little about the Clinton administration. In some ways, this is to

be expected: Monetary policy is made by the Federal Reserve, which is independent of the

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executive branch. But the administration did influence monetary policy in several important

ways.

The most obvious is the reappointment of Alan Greenspan. In retrospect, this decision

may seem like a no-brainer, but at the time it was less obvious. When Greenspan came up for

reappointment during Clinton's first term, his reputation was not as solid as it would become:

Some observers (including some members of the administration of the elder George Bush)

blamed Greenspan for the recession of 1990-91. Moreover, Greenspan was a conservative

Republican. It would have been natural for Clinton to want to put a more Democratic stamp on

the nation's central bank. That he chose not to do so is notable. To the extent that Greenspan's

Fed has been a success, the Clinton administration deserves some of the credit.

The Clinton administration also influenced monetary policy with its other appointments

to the Board of Governors. These included Alan Blinder, Lawrence Meyers, Alice Rivlin, Janet

Yellen, and Ned Gramlich. Compared to the typical appointment to the Fed by other presidents,

the Clinton appointees were more prominent within the community of academic economists.

Some observers may applaud Clinton for drawing top talent into public service. Whether this

had any effect on policy is, of course, hard to say.

In addition to appointments, the administration also made a significant policy decision:

Throughout its eight years, it avoided making public comments about Federal Reserve policy.

Given the great influence the Fed has on the economy and the great influence the economy has

on presidential popularity, presidents and their subordinates usually have a tough time remaining

silent about monetary policy. Yet the Clinton administration avoided this temptation.

A large academic literature indicates that more independent central banks produce lower

and more stable inflation without greater volatility in output or employment. One contributor to

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this literature was Lawrence Summers, who would later spend eight years as a high Treasury

official in the Clinton administration, culminating in the position of Treasury Secretary.<9>

Thus, it is hardly an accident that the Clinton administration was unusually respectful of the

Fed's independence. What effect this had on policy is hard to gauge. Perhaps the

administration's restraint made it easier for the Fed to raise interest rates when needed and thus,

indirectly, contributed to the increased responsiveness of interest rates to inflation. If so, the

White House again deserves some credit for the Fed's success.

4. Is There a Greenspan Legacy?

In May 1964 the Journal of Finance published a short paper by a young economist named

Alan Greenspan. It was called "Liquidity as a Determinant of Industrial Prices and Interest

Rates." Greenspan began his summary of the paper as follows: "I have endeavored to integrate

several theoretical approaches to the forecasting of prices, with special emphasis on its relation

to interest rates."

The paper was a sign of things to come in several ways. First, and most obviously, it

showed Greenspan's early interest in liquidity, inflation, and interest rates--topics that are the

essence of monetary policy. Second, the paper demonstrated his interest in looking intensely at

the data to try to divine upcoming macroeconomic events. According to all staff reports, this has

also been a hallmark of his time at the Fed.

Third, the desire to integrate various points of view shows a lack of dogma and

nimbleness of mind. Without doubt, these traits have served Greenspan well in his role as Fed

chairman. They have made it easier to get along with both Republican and Democratic

administrations and to forge a consensus among open-market committee members with their

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differing theoretical perspectives. They have also made it easier for him to respond to economic

circumstances that are changing, unpredictable, and sometimes inexplicable even after the fact.

But there may also be a fourth, less favorable way in which Greenspan's paper presaged

the author's later career: It left no legacy. According to the online Social Science Citation Index,

the paper was cited in the subsequent literature exactly zero times. This raises the question of

whether the monetary policy of the 1990s faces a similar fate. Will Greenspan's tenure as Fed

chairman leave a legacy for future monetary policymakers, or will the successful policy of the

Greenspan era leave office with the man himself?

Imagine that Greenspan's successor decides to continue the monetary policy of the

Greenspan era. How would he do it? The policy has never been fully explained. Quite the

contrary: The Fed chairman is famous for being opaque. If a successor tries to emulate the

Greenspan Fed, he won't have any idea how. The only consistent policy seems to be: Study all

the data carefully, and then set interest rates at the right level. Beyond that, there are no clearly

stated guidelines.

There is a great irony to this. Conservative economists like Milton Friedman have long

argued that discretionary monetary policy leads to trouble. They claim that it is too uncertain,

too political, and too inflationary. They conclude that monetary policymakers need to be bound

by some sort of monetary policy rule. This argument is the economic counterpart to John

Adam's famous aphorism that "we are a nation of laws, not of men."

These views, together with the great inflation of the 1970s, have influenced central banks

around the world. Although no country has yet replaced its central bankers with computers

programmed to an automatic monetary rule, as the most extreme critics suggest, there has been

movement away from giving central bankers unconstrained discretion. During the 1990s, many

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nations adopted some form of inflation targeting. In essence, inflation targeting is a commitment

to keep inflation at some level or within some narrow range. It can be viewed as a kind of soft

rule, or perhaps a way of constraining discretion.<10>

Despite this environment, and the fact that a prominent conservative headed the U.S.

central bank, the Fed during the 1990s avoided any type of commitment to policy rule.

Conservative economists are skeptical about policies that rely heavily on the judgments of any

one man. But that is how monetary policy was made over this decade, and it was hailed as a

success by liberals and conservatives alike.

As a practical matter, Fed policy of the 1990s might well be described as "covert inflation

targeting" at a rate of about 3 percent. That is, if the Fed had adopted an explicit inflation target

at the beginning of the 1990s, the rest of the decade might not have been any different. The

virtue of eschewing such a policy framework is that it kept options open--as unconstrained

discretion always does. The downside is that it is makes it harder for subsequent Fed chairmen

to build on the legacy of the 1990s, because it is hard to know what that legacy is.

5. The Lessons of the 1990s

This paper has covered a lot of ground. So I finish by summarizing four key lessons for

students of monetary policy.

1. The macroeconomic performance of the 1990s was exceptional. Although the average levels

of inflation, unemployment, and real growth were similar to what was experienced in some

previous decades, the stability of these measures is unparalleled in U.S. economic history.

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2. A large share of the impressive performance of the 1990s was due to good luck. The economy

experienced no severe shocks to food or energy prices during this period. Accelerating

productivity growth due to advances in information technology may also have helped lower

unemployment and inflation.

3. Compared to previous eras, monetary policy during the 1990s adjusted interest rates more

aggressively in response to changes in core inflation. This prevented spiraling inflation.

Increased stability in monetary aggregates played no role in the improved macroeconomic

performance of this era.

4. The low inflation and economic stability of the 1990s shows that discretionary monetary

policy can work well. Yet it leaves only a limited legacy for future policymakers. U.S.

monetary policymakers during the 1990s may well have been engaged in "covert inflation

targeting" at a rate of about 3 percent, but they never made that policy explicit.

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References Akerlof, George A., Dickens, William T., and Perry, George L. "The Macroeconomics of Low Inflation," Brookings Papers on Economic Activity, 1996:1, 1-76. Alesina, Alberto, and Summers, Lawrence H., "Central Bank Independence and Macroeconomic Performance: Some Comparative Evidence," Journal of Money, Credit, and Banking 25 (May 1993), 151-162. Ball, Laurence, and Moffitt, Robert, "Productivity Growth and the Phillips Curve," Johns Hopkins University, 2001. Bernanke, Ben S. and Mishkin, Frederic S. "Inflation Targeting: A New Framework for Monetary Policy?" Journal of Economic Perspective 11, Spring 1997, 97-116. Blinder, Alan S., Economic Policy and the Great Stagflation, New York: Academic Press, 1979. Campillo, Marta, and Miron, Jeffrey A., "Why Does Inflation Differ Across Countries?" in Christina D. Romer and David H. Romer, eds., Reducing Inflation: Motivation and Strategy (Chicago: University of Chicago Press, 1997): 335-362. Friedman, Milton, An Interview, Macroeconomic Dynamics 5, 2001, 101-131. Greenspan, Alan, "Liquidity as a Determinant of Industrial Prices and Interest Rates," Journal of Finance, May 1964. Stock, James H., and Watson, Mark W. "Forecasting Inflation," Journal of Monetary Economics, vol. 44 (2), October 1999, 293-335. Summers, Lawrence, "How Should Long-Term Monetary Policy Be Determined?" Journal of Money Credit and Banking, vol. 23, no, 3, part 2, August 1991, 625-631. Taylor, John B. "A Historical Analysis of Monetary Policy Rules," in Monetary Policy Rules, ed., John B. Taylor, Chicago:1 See Akerlof, Dickens, and Perry (1996). 2 Blinder (1979) offers a classic analysis of the stagflation of the 1970s, emphasizing the role of supply shocks related to food and energy. 3 Some of these ideas are explored in a recent paper by Laurence Ball and Robert Moffitt (2001). 4 I say "allegedly" because it is not obvious whether Volcker's professed interest in the monetary aggregates was genuine or just a political feint to distract attention from the very high interest rates he needed to disinflate.

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5 "Greenspan Upbeat on U.S. Economy," Financial Times, February 20, 1993. 6 My discussion of interest rates in this section and the next one build on John Taylor's seminal work on monetary policy rules. See, for instance, Taylor (1999). 7 See Stock and Watson (1999). 8 The Greenspan Fed deviated from this formula during the late 1980s, when interest rates rose substantially more than the formula recommended. Arguably, the formula did the better job, and the actual policy was the mistake leading to the 1990-91 recession. 9 See Alesina and Summers (1993). For a study that questions the link between inflation and central-bank independence, see Campillo and Miron (1997). 10 See Bernanke and Mishkin (1991) for a discussion of inflation targeting.